Question

find x given y = 20° from the figure below. x = °

Explanation:

Step1: Set up equation based on angle - sum

The sum of angles on a straight - line is 180°. So, \(5x+(x + y)+2x=180^{\circ}\).

Step2: Substitute \(y = 20^{\circ}\) into the equation

Substitute \(y = 20^{\circ}\) into \(5x+(x + y)+2x=180^{\circ}\), we get \(5x+(x + 20^{\circ})+2x=180^{\circ}\).

Step3: Combine like - terms

\((5x+x + 2x)+20^{\circ}=180^{\circ}\), which simplifies to \(8x+20^{\circ}=180^{\circ}\).

Step4: Solve for \(x\)

Subtract \(20^{\circ}\) from both sides: \(8x=180^{\circ}-20^{\circ}=160^{\circ}\). Then divide both sides by 8, \(x=\frac{160^{\circ}}{8}=20^{\circ}\).

Answer:

\(20\)